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Finding the Fourth Proportional to 283,883.92, 425,753.24 and 84,157.64

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Solution

The fourth proportional to 283,883.92, 425,753.24 and 84,157.64 is: 126,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,883.92 : 425,753.24 = 84,157.64 : x
  2. Step 2: Convert to fraction form
    283,883.92/425,753.24 = 84,157.64/x
  3. Step 3: Cross multiply
    283,883.92x = 425,753.24 × 84,157.64
  4. Step 4: Simplify right side
    283,883.92x = 35,830,387,900.75
  5. Step 5: Solve for x
    x = 35,830,387,900.75/283,883.92
  6. Step 6: Final answer
    x = 126,214.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.